1004198481 has 72 divisors (see below), whose sum is σ = 1738474920. Its totient is φ = 554780160.

The previous prime is 1004198441. The next prime is 1004198509. The reversal of 1004198481 is 1848914001.

It can be written as a sum of positive squares in 4 ways, for example, as 576081 + 1003622400 = 759^2 + 31680^2 .

It is not a de Polignac number, because 1004198481 - 2⁹ = 1004197969 is a prime.

It is a super-2 number, since 2×1004198481² = 2016829178485414722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1004198401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1259575 + ... + 1260371.

It is an arithmetic number, because the mean of its divisors is an integer number (24145485).

Almost surely, 2^1004198481 is an apocalyptic number.

1004198481 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1004198481 is a deficient number, since it is larger than the sum of its proper divisors (734276439).

1004198481 is a wasteful number, since it uses less digits than its factorization.

1004198481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1004198481 is about 31689.0908831415. The cubic root of 1004198481 is about 1001.3975396398.

It can be divided in two parts, 100419 and 8481, that added together give a square (108900 = 330²).

The spelling of 1004198481 in words is "one billion, four million, one hundred ninety-eight thousand, four hundred eighty-one".